Answer: option A. a graph of the area of a circle vs. its radius r (A = ΟrΒ²).
Explanation:
A quadratic relation between the dependent and independent variables shows the independent variable raised to the power of 2.
This is it is a polynomial with general form axΒ² + bx + c, whewre a, b, and c, named coeficients, Β are constants.
The function is y = Β axΒ² + bx + c, where x is the independent variable and y is the dependent variable.
As stated in the question, the area of a circle is given by A = ΟrΒ².
In this case, A is the dependent variable and r is the independent variable.
Ο is assumed as the coefficient of the quadratic term, and the other coefficients are assumed 0, since there are no either terms on r or constants.
The equation a = 1/b Β is an inverse relation, not a quadratic relation.
The relation of distance vs. time for a car moving at constant speed is a linear relation of the kind v = u + st.
The mass of water vs. the volume of water in a drinking glass is a direct relation, mass = density Γ volume
Therefore, the only quadratic relation is shown by Β a graph of the area of a circle vs. its radius r.
